Question:medium
If \( \alpha = {^nC_r} \) and \( \beta = {^nC_{r-1}} \), then \( 1 + \frac{\alpha}{\beta} \) is equal to
If \( \alpha = {^nC_r} \) and \( \beta = {^nC_{r-1}} \), then \( 1 + \frac{\alpha}{\beta} \) is equal to
Show Hint
Memorize ratio: \( \frac{{^nC_r}}{{^nC_{r-1}}} = \frac{n-r+1}{r} \) — very useful shortcut.
Updated On: Apr 21, 2026
- \( \frac{n+1}{r-1} \)
- \( \frac{n+1}{r} \)
- \( \frac{n-1}{1} \)
- \( \frac{n-r+1}{r} \)
- \( \frac{n+1}{r+1} \)
Show Solution
The Correct Option is B
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